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Which one is not possible about an argument?2 pointsBeing valid and soundBeing neither valid nor soundBeing sound by not validBeing valid but not sound

Question

Which one is not possible about an argument?

  • 2 points
  1. Being valid and sound
  2. Being neither valid nor sound
  3. Being sound but not valid
  4. Being valid but not sound
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Solution

The option that is not possible about an argument is "Being sound but not valid".

Here's why:

  1. An argument is valid if the conclusion logically follows from the premises. In other words, if the premises are true, the conclusion must be true.

  2. An argument is sound if it is valid and all its premises are true.

  3. Therefore, it's not possible for an argument to be sound but not valid. If an argument is sound, it must also be valid by definition.

  4. An argument can be valid but not sound if it has a logical structure, but one or more of its premises are false.

  5. An argument can be neither valid nor sound if it doesn't have a logical structure and one or more of its premises are false.

  6. An argument can be both valid and sound if it has a logical structure and all its premises are true.

This problem has been solved

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